ut3_linalg
==========


.. py:module:: t3toolbox.backend.ut3_linalg

.. autoapi-nested-parse::

   Linear algebra on uniform supercores (dense-tensor semantics) with mask bookkeeping.

   ``ut3_scale``/``ut3_add``/``ut3_sum_stack``/``ut3_inner_product``/``ut3_norm_orthogonalized``, plus the
   weighted-layer ``ut3_weighted_norm``/``ut3_weighted_inner`` (uniform twins of ``t3_weighted_norm``/
   ``t3_weighted_inner``). Output masks follow the rank recurrences (add = mask concatenation) on the host
   (``np``), while the supercores flow through ``xnp`` (``docs/uniform_masks_vs_ranks.md``).



Functions
---------

.. toctree::
   :hidden:

   /autoapi/t3toolbox/backend/ut3_linalg/ut3_scale
   /autoapi/t3toolbox/backend/ut3_linalg/ut3_add
   /autoapi/t3toolbox/backend/ut3_linalg/ut3_sum_stack
   /autoapi/t3toolbox/backend/ut3_linalg/ut3_inner_product
   /autoapi/t3toolbox/backend/ut3_linalg/ut3_norm_orthogonalized
   /autoapi/t3toolbox/backend/ut3_linalg/ut3_weighted_norm
   /autoapi/t3toolbox/backend/ut3_linalg/ut3_weighted_inner

.. autoapisummary::

   t3toolbox.backend.ut3_linalg.ut3_scale
   t3toolbox.backend.ut3_linalg.ut3_add
   t3toolbox.backend.ut3_linalg.ut3_sum_stack
   t3toolbox.backend.ut3_linalg.ut3_inner_product
   t3toolbox.backend.ut3_linalg.ut3_norm_orthogonalized
   t3toolbox.backend.ut3_linalg.ut3_weighted_norm
   t3toolbox.backend.ut3_linalg.ut3_weighted_inner